Question

With the help of the two preceding problems, show that ΔS between states 1 and 2 of n moles of an ideal gas is given by

a) Derive the expression for ΔS between two states of an ideal gas.
b) The result is independent of the type of process.
c) The equation holds true only for reversible processes.
d) The entropy change is not applicable to ideal gases.

Answer 1

The entropy change between states 1 and 2 of an ideal gas can be calculated using the formula: ΔS = nCp ln(T2/T1). This formula is derived from the ideal gas law and the definition of entropy. It is independent of the process type and applicable to both reversible and irreversible processes.

Step-by-step explanation:

The entropy change (ΔS) between states 1 and 2 of n moles of an ideal gas can be determined using the formula:

ΔS = nCp ln(T2/T1)

where Cp is the molar heat capacity at constant pressure, T1 is the initial temperature, and T2 is the final temperature.

This formula is derived from the ideal gas law and the definition of entropy. It is independent of the type of process (reversible or irreversible) and applicable to both reversible and irreversible processes.